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Free Grade 3 Averages from Tables Lessons

Free Grade 3 lessons for Averages from Tables: 12 real questions with a full answer key and worked solutions. The mean is the total divided by how many values. The median is the middle value in order. The mode is the most common. The range is largest minus smallest.

Price

Free

Difficulty

Higher

Estimated time

20 min

Total marks

24

Learning objectives

Every objective is checkable, and each one maps to an activity and an assessment.

  • RememberIdentify averages from tables

    Identify averages from tables accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain averages from tables

    Explain averages from tables accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate averages from tables

    Calculate averages from tables accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare averages from tables

    Compare averages from tables accurately in a familiar context.

    Assessed by: Exit ticket of four short items

Prerequisites

Close these gaps first — each has its own free lesson, worksheet and quiz.

Range
Mode
Measurement

How Averages from Tables works

The mean is the total divided by how many values. The median is the middle value in order. The mode is the most common. The range is largest minus smallest.

Key wordsmeanmedianmoderangedata

12 practice questions

Easy to hard, 24 marks in total. Try them first, then open the answers.

  1. 1.For the data 1, 12, 16, 17, 20, find the mean, median, mode and range.[1]
  2. 2.For the data 2, 4, 5, 15, 19, find the mean, median, mode and range.[1]
  3. 3.For the data 1, 1, 2, 12, 17, find the mean, median, mode and range.[1]
  4. 4.For the data 6, 7, 11, 18, 19, find the mean, median, mode and range.[1]
  5. 5.For the data 3, 3, 6, 7, 25, 28, 29, find the mean, median, mode and range.[2]
  6. 6.For the data 4, 17, 20, 21, 35, 39, 40, find the mean, median, mode and range.[2]
  7. 7.For the data 1, 7, 14, 23, 24, 26, 40, find the mean, median, mode and range.[2]
  8. 8.For the data 1, 3, 7, 8, 25, 27, 28, find the mean, median, mode and range.[2]
  9. 9.For the data 11, 11, 12, 21, 23, 34, 41, 51, 59, find the mean, median, mode and range.[3]
  10. 10.For the data 1, 20, 23, 23, 31, 43, 48, 50, 52, find the mean, median, mode and range.[3]
  11. 11.For the data 11, 34, 37, 42, 44, 50, 52, 53, 60, find the mean, median, mode and range.[3]
  12. 12.For the data 8, 10, 13, 20, 22, 27, 36, 45, 54, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 13.2, median 16, mode none, range 19

    Mean = 66 ÷ 5 = 13.2. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 20 − 1 = 19.

  2. 2. Mean 9, median 5, mode none, range 17

    Mean = 45 ÷ 5 = 9. Median = middle value in order = 5. Mode = most common = no repeated value. Range = 19 − 2 = 17.

  3. 3. Mean 6.6, median 2, mode 1, range 16

    Mean = 33 ÷ 5 = 6.6. Median = middle value in order = 2. Mode = most common = 1. Range = 17 − 1 = 16.

  4. 4. Mean 12.2, median 11, mode none, range 13

    Mean = 61 ÷ 5 = 12.2. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 19 − 6 = 13.

  5. 5. Mean 14.43, median 7, mode 3, range 26

    Mean = 101 ÷ 7 = 14.43. Median = middle value in order = 7. Mode = most common = 3. Range = 29 − 3 = 26.

  6. 6. Mean 25.14, median 21, mode none, range 36

    Mean = 176 ÷ 7 = 25.14. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 40 − 4 = 36.

  7. 7. Mean 19.29, median 23, mode none, range 39

    Mean = 135 ÷ 7 = 19.29. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 40 − 1 = 39.

  8. 8. Mean 14.14, median 8, mode none, range 27

    Mean = 99 ÷ 7 = 14.14. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 28 − 1 = 27.

  9. 9. Mean 29.22, median 23, mode 11, range 48

    Mean = 263 ÷ 9 = 29.22. Median = middle value in order = 23. Mode = most common = 11. Range = 59 − 11 = 48.

  10. 10. Mean 32.33, median 31, mode 23, range 51

    Mean = 291 ÷ 9 = 32.33. Median = middle value in order = 31. Mode = most common = 23. Range = 52 − 1 = 51.

  11. 11. Mean 42.56, median 44, mode none, range 49

    Mean = 383 ÷ 9 = 42.56. Median = middle value in order = 44. Mode = most common = no repeated value. Range = 60 − 11 = 49.

  12. 12. Mean 26.11, median 22, mode none, range 46

    Mean = 235 ÷ 9 = 26.11. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 54 − 8 = 46.

Worked examples

Easy example

For the data 1, 5, 10, 16, 17, find the mean, median, mode and range.

  1. Mean = 49 ÷ 5 = 9.8.
  2. Median = middle value in order = 10.
  3. Mode = most common = no repeated value.
  4. Range = 17 − 1 = 16.
  5. Answer: Mean 9.8, median 10, mode none, range 16
Medium example

For the data 2, 7, 10, 18, 29, 30, 34, find the mean, median, mode and range.

  1. Mean = 130 ÷ 7 = 18.57.
  2. Median = middle value in order = 18.
  3. Mode = most common = no repeated value.
  4. Range = 34 − 2 = 32.
  5. Answer: Mean 18.57, median 18, mode none, range 32
Hard example

For the data 3, 6, 9, 16, 18, 28, 31, 44, 44, find the mean, median, mode and range.

  1. Mean = 199 ÷ 9 = 22.11.
  2. Median = middle value in order = 18.
  3. Mode = most common = 44.
  4. Range = 44 − 3 = 41.
  5. Answer: Mean 22.11, median 18, mode 44, range 41

Interactive practice

Free, no account required — answer on screen or print it.

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Common mistakes

What learners typically get wrong, and how to fix it.

  • Finds the median without ordering the data.

    Correction: Always put the numbers in order first.

  • Gives the range as the two end numbers.

    Correction: Range is one number: largest minus smallest.

Teacher tips

  • · Collect real class data (heights, shoe sizes).

Parent tips

  • · Work out your average bedtime over a week.

Real-life applications

  • · Sports averages, typical prices, test scores.

Assessment objectives

How mastery is evidenced, and which standards it maps to.

COMMON-CORE COM-531.1 — Mapped statement covering Averages from Tables.OCR OCR-818.2 — Mapped statement covering Averages from Tables.

Every free resource for Averages from Tables

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Free Averages from Tables worksheets
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Free Averages from Tables lesson plans

Goes deeper

The entities below this one, each with the same complete free resource set.

Introducing Averages from Tables
Working with Averages from Tables
Averages from Tables in Context

Sibling concepts

Mean
Median
Mode
Range

Related concepts

Lateral links, including across subjects.

Mean
Median
Mode
Range
Data Presentation

Next topics

Data Presentation
Data Collection

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Frequently asked

Is this Grade 3 Averages from Tables lesson really free?
Yes. Every lessons on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
What should a learner already know before this?
Start with Range, Mode, Measurement. Each one has its own free lesson, worksheet and quiz.
How is the lesson sequenced?
Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
What comes next after Averages from Tables?
Move on to Data Presentation, Data Collection, which build directly on this idea.

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